Bending of the plate with a crack in presence of plastic zones at its tops
Journal Title: Вісник Тернопільського національного технічного університету - Year 2017, Vol 85, Issue 1
Abstract
A problem of biaxial bending under distributed bending moments at infinity of isotropic plate with the straight crack and the presence at its tops of plastic zones where Trasck’s plasticity conditions are performed as a surface layer or plastic hinge, when the vectors of the external moments are perpendicular and parallel to the banks of the crack has been investigated. Using the methods of complex variable theory and the complex potentials of classic theory of plate bending, the solving of problem is reduced to the problem of linear coupling, their analytical solution has been received in the class of functions limited in the plastic zones tops.The length of plastic zone and divergence of crack banks at its top has been determined analytically and their numerical analysis for various parameters of the problem has been conducted.
Authors and Affiliations
Oksana Bilash
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